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On best coapproximations in subspaces of diagonal matrices

Sain, D and Sohel, S and Ghosh, S and Paul, K (2021) On best coapproximations in subspaces of diagonal matrices. In: Linear and Multilinear Algebra .

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Official URL: https://doi.org/10.1080/03081087.2021.2017835


We characterize the best coapproximation(s) to a given matrix T out of a given subspace (Formula presented.) of the space of diagonal matrices (Formula presented.), by using Birkhoff-James orthogonality techniques and with the help of a newly introduced property, christened the (Formula presented.) -Property. We also characterize the coproximinal subspaces and the co-Chebyshev subspaces of (Formula presented.) in terms of the (Formula presented.) -Property. We observe that a complete characterization of the best coapproximation problem in (Formula presented.) follows directly as a particular case of our approach. © 2021 Informa UK Limited, trading as Taylor & Francis Group.

Item Type: Journal Article
Publication: Linear and Multilinear Algebra
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to Taylor and Francis Ltd.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 07 Jan 2022 10:07
Last Modified: 07 Jan 2022 10:07
URI: http://eprints.iisc.ac.in/id/eprint/70947

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